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Finding the Fourth Proportional to 188.88, 260.39 and 142.31

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Solution

The fourth proportional to 188.88, 260.39 and 142.31 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.88 : 260.39 = 142.31 : x
  2. Step 2: Convert to fraction form
    188.88/260.39 = 142.31/x
  3. Step 3: Cross multiply
    188.88x = 260.39 × 142.31
  4. Step 4: Simplify right side
    188.88x = 37,055.24
  5. Step 5: Solve for x
    x = 37,055.24/188.88
  6. Step 6: Final answer
    x = 196.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.